Solve for x
x=-11
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3\left(x+5\right)-2\left(x-1\right)=6
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x+15-2\left(x-1\right)=6
Use the distributive property to multiply 3 by x+5.
3x+15-2x+2=6
Use the distributive property to multiply -2 by x-1.
x+15+2=6
Combine 3x and -2x to get x.
x+17=6
Add 15 and 2 to get 17.
x=6-17
Subtract 17 from both sides.
x=-11
Subtract 17 from 6 to get -11.
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